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Two trains 165 m and 175 m long run at the speed of 50 km/h and 52 km/h respectively in opposite directions on parallel tracks. What is the time (in seconds) they take to cross each other?
Distance covered in crossing each other = (165 + 175) = 340 m.
∴ Required time = (340 x 9/255) = 12 s.
If two equations: 2x^{2}  Ax  20 = 0 and 2x^{2}  11x + 12 = 0 have one root in common, then what is the value of 'A' if the value of A is positive?
(2x  3)(x  4) = 0
x = 1.5 and 4
Since both the equations have one root in common
Case 1: When x = 1.5 is common
2(1.5)^{2}  A(1.5)  20 = 0
Divya has 3 types of coins having denomination of 20p, 10p and 5p. Their numbers are in the ratio of 1: 2 : 3. If Divya has total money of Rs. 44 then how many 5p coins are there?
Then number of 10p coins is 2a and number of 5p coins is 3a.
Total worth of 20p coins = number of coins X worth of each coin = a X (1/5) = Rs (a/5)
Total worth of 10p coins = 2a X (1/10) = Rs (a/5)
Similarly total worth of 5p coins = 3a X (1/20) = Rs (3a/20)
Since total money with the Divya is Rs 44 hence
a/5 + a/5 + 3a/20 = 44 => 2a/5 + 3a/20 = 44
=> 8a/20 + 3a/20=44 => 11a/20 =44 => a = 80
So the number of 5p coins = 3a = 80 x 3 = 240
The difference between 42% and 23% of a number is 304. What is 72% of that number?
∴ 42x  23x = 304
=> 19x = 304
=> x = 16
∴ The number is 100 x 16 = 1600.
=> 72% of the number = 0.72 x 1600 = 1152
What is the value of 60 ÷ [{21 ÷ 7 x √(√625 + √121)} − 6] x 5  42 ÷ 3 x 2 = ?
= 60 ÷ [{3 x √(25 + 11)} − 6] x 5  14 x 2
= 60 ÷ [{3 x √(36)} − 6] x 5  28
= 60 ÷ [{3 x 6} − 6] x 5  28
= 60 ÷ [18 − 6] x 5  28
= 60 ÷ 12 x 5  28
= 5 x 5  28
= 3
Three pipes x, y and z can fill a water tanker in 20, 25 and 30 minutes respectively. All the three pipes are opened to fill the tanker and if the pipe y is closed 2 minutes before the water tanker gets filled, then in how much time will the tank get filled?
In one minute pipe x can fill 1/20 part.
In t minutes, pipe x can then fill t/20 part.
Therefore, t/20 + t2/25 + t/30 = 1
On solving, we get t = 324/37 minutes.
If [4x  (1/12x) = 8], then what is the value of [x^{2} + {1/(2304x^{2})}] ?
=> 4(x  1/48x) = 8
=> x  1/48x = 2  (i)
Squaring both sides, we get
(x  1/48x)^{2} = 4
=> x^{2 }+ 1/(2304x^{2})  2x/48x = 4  [(a  b)^{2} = a^{2} + b^{2}  2ab]
x^{2} + 1/2304 x^{2} = 4 + 1/24 = 97/24
A boy throws a ball of mass 4 kg vertically downwards for a height of 20 metres. What is the velocity of the ball which touches the ground? (Take g= 10 m/s^{2})
Mass of ball = m = 4 kg, elevation from ground= h= 20 m; v= velocity at touch point
So, mgh = ½ (mv^{2})
Gives v= 20 m/s
mg = 1/2 (mv^{2})
2gh = v^{2}
v^{2} = 2 x 10 x 20 = 400
v = 20 m/sec
=> 100x = 78.414141.. (I)
=> 10000x = 7841.414141.. (II)
(II)  (I) gives,
9900x = 7763
=> x = 7763/9900
Nidhi borrowed Rs. 10000 from a bank for a period of two years at the rate of 10% per annum. From that amount, she invested Rs. 3500 in another bank which offers simple interest @12.5% per annum and remaining amount she invested into a chit fund which offers compound interest of 10% per annum. What is the profit obtained by Nidhi at the end of two years?
Interest obtained by Nidhi from the bank = Rs. (3500 x 2 x 12.5)/100 = Rs. 875
Interest obtained by Nidhi from Chit fund = 6500(1 + 0.1)2  6500 = Rs. 1365
So total interest obtained by Nidhi = Rs. (875 + 1365) = Rs. 2240
Profit = Rs. (2240  2000) = Rs. 240
A book was marked initially at Rs. 500 which A purchased at 8% discount. He marked up the price by 15% on his purchased price and sold after Rs. 20 discount to B. B marked up the price by 20% above his purchased price and sold to C after allowing Rs. 50.9 discount. What is the percent profit gained by B when sold to C?
Given below are the steps involved. Arrange them in the sequential order.
(A) Initial marked price of book = Rs. 500 and purchased price for A = 92% of 500 = Rs. 460
(B) Purchased price of book by B = 529  20 = Rs. 509
(C) Per cent profit = [(559.9  509)/509] x 100 = 10%
(D) Marked price of book by A = 115% of 460 = Rs. 529
(E) Marked price of book by B = 120% of 509 = Rs. 610.8 and purchased price of book by C = 610.8  50.9 = Rs. 559.9
(A) Initial marked price of book = Rs. 500 and purchased price for A = 92% of 500 = Rs. 460
(D) Marked price of book by A = 115% of 460 = Rs. 529
(B) Purchased price of book by B = 529  20 = Rs. 509
(E) Marked price of book by B = 120% of 509 = Rs. 610.8 and purchased price of book by C = 610.8  50.9 = Rs. 559.9
(C) Per cent profit = [(559.9  509)/509] x 100 = 10%
Seema purchased an item for Rs.9,600 and sold it for a loss of 5 percent. From that money she purchased another item and sold it for a gain of 5 percent. What is her overall gain/ loss?
SP = 9600 x 95 / 100 = Rs. 9,120
Second S.P. = 9120 x 100 / 100 = Rs. 9,576
Loss = 9600  9576 = 24
What is the angle between the hands of a clock at 8:30 a.m.?
So these two hands are apart by 2.5 blocks.
We know that the difference of angle of one block is 30°.
Hence the angle between the hands = 2.5 X 30° = 75°
Following data given below shows the sex ratio of India in last 10 years. Find the mode of sex ratio in India.
976, 979, 1084, 993, 1084, 993, 935, 979, 991, 979
Since, 979 is occurring frequently and number of occurrence of 979 is 3.
Hence mode of sex ratio in India in last 10 years is 979.
If 7x^{5}  2x^{4} + 3x^{3}  4x^{2 }+ 6x + 2k is divisible by (x + 1), then what is the value of k?
=> x = 1 must satisfy the given equation
=> 7(1)^{5}  2(1)^{4} + 3(1)^{3}  4(1)^{2 }+ 6(1) + 2k = 0
=> 7  2  3  4  6 + 2k = 0
=> 2k = 22
=> k = 11
The ratio of two numbers is 7:5 and their H.C.F. is 6. What is their L.C.M.?
as, 7 and 5 are coprime pairs.
∴ Their H.C.F. = x = 6 (given).
=> The numbers are 42 and 30.
L.C.M. of 42 and 30 = 210.
From an external point O, a secant is drawn on a circle which meets the circle at points A and B respectively, if OA = 4 cm and AB = 60 cm. The length of the tangent drawn on circle from point O is (in cm)
Let the tangent be T
OT_{2} = OA.OB
=> OA = 4
=> OB = OA + AB
=> 4+60
=> 64
OT_{2} = 4x64
=> 256
=> OT = 16 cm
A copperwire when bent in the form of a square enclose an area of 121 cm^{2}. If the same wire is bent in the form of a circle, then the area of the circle is
Length of wire = circumference of circle.
44 = 2 π r or r = (44 x 7)/(2 x 22) = 7 cm
Hence, area of circle = πr^{2 }= 22/7 x 7 x 7 = 154 cm^{2}
Table given below shows the total number of employees of four different grades in a department and average age of employees in those difference grades.
Table given below shows the total number of employees of four different grades in a department and average age of employees in those difference grades.
Sum of ages of all employees in grade B = 40 x 24 = 960 years
Sum of ages of all employees in grade C = 15 x 32 = 480 years
Sum of ages of all employees in grade D = 20 x 22 = 440 years
Sum of ages of all the employees of the department P = 700 + 960 + 480 + 440 = 2580 years
Total employees in department P = 25 + 40 + 15 + 20 = 100
Average age of the employees of department P = 2580/100 = 25.8 years
What will be the percentage profit after selling an article at a certain price if there is a loss of 12.5% when the article is sold at half of the previous selling price?
Selling price = Rs. x/2
There is a loss of 12.5% when selling price is Rs. x/2.
Cost Price = x/2 x 100/(10012.5)= (100 x)/175= 4x/7
Now, when selling price is Rs. x, % profit =[(x(4x/7))/(4x/7)] x 100 = (3x/4x) x 100 = 75%
If α, 3α+6, and 71α are in arithmetic progression, then find the value of α.
=> 3α + 6  α = 71α  3α  6 = common difference of the arithmetic progression.
=> 2α = 68α  6  6
=> 66α = 12
=> α = 12/66 = 2/11
Onefourth of Lainey's savings in Kisan Vikas Patra is equal to onefifth of her savings in Employee Provident Fund. How much has she saved in Employee Provident Fund, if she has a total savings of ₹ 180,000?
∴ Her savings in Kisan Vikas Patra = ₹ (180,000  x)
∴ (180,000  x)/4 = x/5
=> 900,000  5x = 4x
=> x = ₹ 100,000
When 20% of 40% of half of a number 'm' is added to 3/4th of 20% of itself, then a second number is obtained which is 21 less than the 40% of m. What is the difference between first and second number?
Second number = (40% of m )  21
According to the question:
20% of 40% of (m/2) + (3/4) x 20% of m = (40% of m)  21
m = 100
Second number = (40% of m)  21 = 40% of 100  21 = 19
Difference = 100  19 = 81
What will come in place of (?) in this equation?
125% of [{? + 200 ÷ (16 ÷ 2 x 4 x (1/8))} ÷ 7.5 x 8 ÷ (18 ÷ 3  50% of 4)] = ?
125% of [{a + 200 ÷ (16 ÷ 2 x 4 x (1/8))} ÷ 7.5 x 8 ÷ (18 ÷ 3  50% of 4)] = a
=> 125% of [{a + 200 ÷ (8 x 4 x (1/8))} ÷ 7.5 x 8 ÷ (6  2)] = a
=> 125% of [{a + 200 ÷ 4} ÷ 7.5 x 8 ÷ 4] = a
=> 125% of [{a + 50} ÷ 7.5 x 2] = a
=> 125% of 2(a + 50)/7.5 = a
=> (5/4) x 2(a + 50)/7.5 = a
=> a + 50 = 3a
=> a = 25
If cos (90^{0}  θ)/cos (30^{0} + θ) = 1, then the value of sin θ + cos 2θ
sin θ = cos (30^{0} + θ)
sin θ = sin (90^{0}  30^{0}  θ)
θ = 90^{0}  30^{0}  θ
θ = 30^{0}
= (sin θ + cos 2θ)
= sin 30^{0} + cos 60^{0}
= 1/2 + 1/2
= 1
A fraction is such that if it is squared and then the numerator is divided by 2, while the denominator is increased by 25%, the new fraction thus obtained is 4 times the original fraction. What is the new fraction?
According to given condition,
What should come in place of question mark (?) in the following series?
15, 17, 23, 35, 55, (?)
17 + (2 x 3) = 23
23 + (3 x 4) = 35
35 + (4 x 5) = 55
55 + (5 x 6) = 85
How much does a watch lose per day, if its hands coincide every 65 minutes?
Hence loss in 65 minutes = 65(5/11)  65 = (5/11) minutes
Hence loss in 24 hours = (5 x 24 x 60) / (11 x 65) = 10(10/143) minutes
Fifteen years hence, the ratio of the ages of a man and his son will be 2:1. If the present age of the man is 45, then what is his son's present age?
Let the present age of the son be 'x'.
(45+15)/(x+15) = 2/1
2x + 30 = 60
x = 15
So, the present age of son is 15 years
Ramesh can do 20% more work as Mohan can do in same time. If Mohan can finish the work in 30 hours then Ramesh with the help of Mohan, can finish the same work in how many hours ?
Ramesh can do 6/5 work in 30 hours.
So Ramesh can complete the work in 30 x (5/6) = 25 hours.
Together they can finish 1/30 + 1/25 of work in 1 hour, i.e., 11/150.
So in 150/11 hours, they will finish the work together.
In the following question, select the related letter/word/number from the given alternatives.
MUSIC: TUNE
Find out a similar set of the given set:
(64, 216, 125)
Pointing to a boy Neha said, ‘He is the son of my grandfather’s only child. How is she related to that boy?
In a code language, ‘S1357’ means ‘SWe are very happy,’ ‘S2639’ means ‘They are extremely lucky,’ and ‘S794’ means ‘SHappy and lucky.’ Which digit in that code language stands for ‘Svery’?
2639 → they are extremely lucky ......(ii)
794 → happy and lucky ......(iii)
from (i) and (ii)
3 → are
from (ii) and (iii)
9 → lucky
from (i) and (iii)
7 → happy
from (iii)
4 → and
from (i)
1, 5 → we, very
Hence, we cannot find exact code for 'very'.
In a certain code language the word ‘FUTILE’ is written as ‘HYVMNI’. How will the word ‘PENCIL’ be written in that language?
Laxman start walking from his house and went 15 km to North, then he turned West and covered 10 km. Then he turned South and covered 5 km. Finally, turning to East, he covered 10 km. In which direction is he from his house?
From the figure, its clear that Laxman is in north of his house.
Given below are two Matrices of Twentyfive Cells, each containing two classes of alphabets. The columns and rows of Matrix I are numbered form 0 to 4 and that of Matrix II from 5 to 9. A letter from these Matrices can be represented first by its row number and next by its column number. In each of the following questions, identify one set of number pairs out of (1), (2), (3) and (4) which represents the given word.
RUST
R– 57, 97, 99
U– 68, 78
S– 56, 58, 98
T– 59, 67
Therefore, the correct answer is option (3) i.e. 97, 68, 56, 59
Arrange the following in a meaningful order:
1. Curd
2. Grass
3. Butter
4. Milk
5. Cow
5. Cow
2. Grass
4. Milk
1. Curd
3. Butter
Hence option d is correct answer.
In the questions given below, some relationship has been expressed through symbols as shown below. Based on the meaning of these symbols and choose the correct answer.
ϕ means ‘less than.’
Δ means ‘not greater than.’
 means ‘equal to.’
+ means ‘not equal to.’
× means ‘not less than.’
= means ‘greater than.’
X ϕ Y  Z implies
X ϕ Y  Z ⇒ X < Y = Z
Using the proper notations/symbols in option (c), we get
X + Y × Z ⇒ X ≠ Y > Z ⇒ X < Y = Z
Therefore, X ϕ Y  Z ⇒ X + Y × Z.
Pattern is
In the question below, there are few statements followed by few conclusions. You have to take the given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the given conclusion logically follow(s) from the given statements.
Statements:
All horses are rivers.
All rivers are jungles.
No Jungle is flower.
Conclusions:
I. No horse is flower.
II. No flower is horse.
If both Conclusions I and II follow.
Choose the missing terms out of the given alternatives.
ef_h_gfe_hef_ehgefg_
What should come next in the following letter sequence:
A A B A B C A B C D A B C D E A B C D E F A B C D E F G A B C D E F G
In the given figure, circle represents youths, triangle represents the persons who are in job and rectangle represents illiterate person.
Which of the following number depicts, illiterate youths who have job?
Find the water image of the object given in the question figure.
A Piece of paper is folded and cut as shown below in the question figure. From the given answer figures, indicate how it will appear when opened.
Question figure
Answer figure
Hence option 4 is correct answer.
In the following questions, four/five figures are given. Three/four are similar in a certain way and so form a group. Find out which one of the figures does not belong to that group.
Which of the following words cannot be formed from 'GENERALIZATION'?
If ‘+’ stands for multiplication, ‘x’ stands for division, ‘–’ stands for addition and ‘÷’ stands for subtraction, what is the answer for the following equation?
20 – 5 ÷ 18 x (3 + 2) = ?
Given expression is
20−5÷18×(3+2)=?
After conversions:
?=20+5−18÷(3×2)
or, ?=20+5−18+6
or, ?=20+5−3
Or.? = 25  3 = 22
The day on 18.09.1977 was Sunday. A couple was married on this date. In the next 15 years, there how many marriage anniversaries would fall on Sunday?
Therefore,
Number of odd days from 18.09.1977 to 18.09.1983=7, i.e., 0 odd day
It means that in 1983, 18th September would fall on Sunday.
and number of odd days from 18.09.1977 to 18.09.1988 = 14, i.e., 0 odd day.
Now, it is clear that 2 marriage anniversaries would fall on Sunday in the next 15 yr.
In a row of girls, if Rohini who is 12th from the left and Mihika who is 9th from the right, if they interchange their seats then Rohini becomes 18th from the left. How many girls are there in the row?
Study the diagram given below and answer the question.
Which part represents those clerks who are graduates and have government job?
Who was recently elected as the Deputy Chairman of the Rajya Sabha in the Parliament?
Earlier in his career he was a journalist with 'Prabhat Khabar' and then was chosen as the media advisor to former Prime Minister Chandra Shekhar.
Recently, Ministry of External Affairs organised 11th World Hindi Conference at which of the following Indian ocean states?
Theme of the Conference: "Hindi Vishwa Aur Bharatiy Sanskriti". It was organised by the Ministry of External Affairs, Government of India in association with the Government of Mauritius
Right to Information, an important legislative act to promote transparency & strengthen the democracy of India came into being on which year?
Using rtionline.gov.in citizens of India can seek information to turn India into a participatory democracy.
According to the government guidelines, 'Any person who desires to obtain information shall submit a written or electronic request in English or Hindi or in the official language of the area to the Central Public Information Officer or his/her counterpart at the state level.'
Which Indian state excelled to be the top performer in the recently released 'Ease of Living Index 2018' by Ministry of Housing & Urban Affairs?
The Index seeks to assist states in undertaking a 360degree assessment of their strengths, weaknesses, opportunities, and threat & innovate to perform in the governance, identity and culture, education, health, safety and security, economy, affordable housing, land use planning etc. for its residents.
Which of the following government entity started 'Seva Bhoj Yojna'  a scheme to reimburse central share of CGST and IGST on food, prasad, langar etc. offered by religious and charitable institutions?
Institutions like Temples, Gurudwara, Mosque, Church, Dharmik Ashram, Dargah etc. who are established and serving free food for more than 5 years to more than 5000 people every month without any discrimination are the eligible entities.
Google recently, unveiled ____________ which will quickly render any PDF with Indian language content into editable text using Artificial Intelligence.
Under the project, The registered publishers will be provided with free web hosting service along with a branded domain for 3 years and having AdSense support to help monetising their content.
Which of the following Indian states launched a scheme, 'Kanyashree', to incentivize adolescent girl child education to combat issue of child marriages?
Eligible girls got ₹1,000 a year scholarship from ages 13 to 18 years and a onetime grant of ₹25,000 on remaining unmarried till 18 years. More than 5 million girl children benefited from the scheme.
Recently the annual income limit was relaxed to any girl child within the age limit.
Which of the following government institution launched "Pitch to MOVE", a business opportunity platform for budding entrepreneurs?
It aims to identify and incentivise the startups, which will help the Government realize its vision of Shared, Connected, Intermodal and Environment Friendly Mobility for India.
The objective is to harness the latest disruption for generating employment and growth in our country
Ghoomar is a popular traditional folk dance from which region in India?
Attire for women: Ghagras along with colourful chairs and heavy embroidery. Works garment.
Which of the following International Organisations are headquartered in Washington D.C., USA?
Match the following trophies with their respective sports
Dhauladhar National Park is situated in which of the following Indian state?
Daman & Diu is Union territory of India comprising 2 different areas separated by which of the following?
With an area of only 112 square kms, it is the second smallest UT of India after Lakshadweep.
Recently, BOMBAY NATURAL HISTORY SOCIETY opened its regional centre at which of the following important Wetland in India?
Here, BNHS would be engaged in identifying the air route of the migratory birds flocking the Chilika lake during winter & sample collection, training related to bird census among other important conservatory purposes.
With which of the following Financial Institution would you associate 'Prompt Corrective Action'?
 capital to risk weighted assets ratio (CRAR),
 net nonperforming assets (NPA) and
 Return on Assets (RoA), applicable only to commercial banks and not extended to cooperative banks, nonbanking financial companies (NBFCs) & other financial institutes
Which of the following rays exhibits the property of light wave?
A ball thrown vertically upwards with an initial velocity of 19.6 m/s returns in 4 seconds. Which one of the following is the maximum height attained by the ball?
Time taken by ball to the Highest point = 4 / 2
= 2 Second
= 19.6 m.
Madam Curie invented Radium. She was born in ……….....
When a body is immersed in a liquid, the force acting on it is?
(1) The weight of the body acting vertically downward through the centre of gravity of the body, and
(2) The upthrust of the fluid acting vertically upward through the centre of gravity of the fluid displaced, i.e.. centre of buoyancy. The upthrust is also termed as buoyant force.
Which of the following is the best conductor of Electricity?
Mach number is used in connection with the speed of 
If linear momentum is increased by 50%, the kinetic energy will increase by
Which of the following colour will scatter the most while passing through a prism?
Brass gets discoloured in air due to the presence of which gas in air ?
At high altitudes the boiling point of water reduces because 
The point, through which the whole weight of the body acts, irrespective of its position, is known as
Avogadro constant, N_{A} is the number of molecules in one mole of a substance and its value (N_{A}) is
When CaC_{2} is heated in atmospheric nitrogen in an electric furnance the compound formed is ________.
In which of the following blocks of the periodic table are the Alkali & Alkaline earth metals included?
Permanent hardness of water may be removed by the addition of ____.
A person can jump higher on the moon's surface than on the earth because:
When something is dropped it does not fall with uniform ____.
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